Pith Number

pith:DXVPHNUT

pith:2013:DXVPHNUTZHLETIASBWF7A5YKHC

not attested not anchored not stored refs pending

Relative weak injectivity of operator system pairs

Angshuman Bhattacharya

arxiv:1307.2598 v2 · 2013-07-09 · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXVPHNUTZHLETIASBWF7A5YKHC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:52:12.586877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1deaf3b693c9d649a0120d8bf0770a38891088834144b3110629d5419f6de6fa

Aliases

arxiv: 1307.2598 · arxiv_version: 1307.2598v2 · doi: 10.48550/arxiv.1307.2598 · pith_short_12: DXVPHNUTZHLE · pith_short_16: DXVPHNUTZHLETIAS · pith_short_8: DXVPHNUT

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DXVPHNUTZHLETIASBWF7A5YKHC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1deaf3b693c9d649a0120d8bf0770a38891088834144b3110629d5419f6de6fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a56fb70f961eac5a0419c87e8cabcf0f348acb99f452ba728e897e900afcd1f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-07-09T20:59:40Z",
    "title_canon_sha256": "3339d513d4aae7df81491c22ce520ee5c80c4caf40815b3177184f04e5cded4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2598",
    "kind": "arxiv",
    "version": 2
  }
}